A stone tied to a string is made to revolve in a horizontal circle of radius 4m with an angular speed of 2 rad per sec. With what tangential velocity will t...
A stone tied to a string is made to revolve in a horizontal circle of radius 4m with an angular speed of 2 rad per sec. With what tangential velocity will the stone move off the circle if the string is cut?
Answer Details
The tangential velocity of a circular motion is given by the product of the radius and the angular velocity. When the string is cut, the centripetal force acting on the stone is removed, and the stone moves off the circle with the same tangential velocity. So, the tangential velocity of the stone when the string is cut is: v = rω = 4m × 2 rad/s = 8 m/s Therefore, the answer is 8.0 ms-1.